SOLUTION: One number is nine more than twice another. If their sum is decreased by ten, the result is fourteen. Find the numbers.

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Question 955341: One number is nine more than twice another. If their sum is decreased by ten, the result is fourteen. Find the numbers.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
x and y are the numbers
x=2y+9
x+y=14+10
x=24-y
24-y=2y+9 Add y to each side
24=3y+9 Subtract 9 from each side.
15=3y Divide each side by 3.
5=y ANSWER 1: One of the numbers is 5
x=24-y=24-5=19 ANSWER 2: The other number is 19.
CHECK:
x+y-10=14
19+5-10=14
24-10=14
14=14